Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 190336 Luke Durant 1 58.0015 45795 Curtis Cooper 9 56.5769 41210 Patrick Laroche 1 56.4714 33573 Jonathan (Jon) Pace 1 56.2664 28195 Ryan Propper 375 56.0919 8136 Tom Greer 129 54.8490 6600 Serge Batalov 389.333 54.6397 5648 Edson Smith 1 54.4841 5463 Odd Magnar Strindmo 1 54.4507 3585 Hans-Michael Elvenich 1 54.0294 2170 Steven R. Boone 1 53.5273 2095 Péter Szabolcs 1 53.4922 2043 Dr. James Scott Brown 204 53.4672 1407 Anonymous Person(s) 203 53.0942 1379 Antonio Lucendo 32 53.0738 1198 Dr. Martin Nowak 1 52.9330 1045 Mark Williams 5 52.7967 946 Josh Findley 1 52.6968 856 Valter Cavecchia 90 52.5969 819 Jonas Skendelis 1 52.5535

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.